A state's recidivism rate is 17%. This means about 17% of released prisoners end up back in prison (within three years). Suppose two randomly selected prisoners who have been released are studied. Complete parts (a) through (c) below. a. What is the probability that both of them go back to prison? What assumptions must you make to calculate this? The probability that both of them go back to prison is nothing%. (Round to one decimal place as needed.) What assumptions must you make to calculate this? A. The prisoners cannot be independent with regard to recidivism. B. The prisoners must be independent with regard to recidivism. C. The two prisoners cannot be selected at the same time. D. No assumptions are necessary.

b) The only assumption taken during the calculation is that probability of one of the prisoners going back to prison has no effect whatsoever in the probability that another prisoner goes back to prison. That is the probability that theses two events occur are totally independent of each other.

If they weren't, we wouldn't be able to use 0.17 as the probability that the other prisoner goes back to prison too.

topeadeniran2 topeadeniran2 · Answer 2 · 2022-03-08T12:53:01+01:00

The assumption that van be deduced from the probability is that B. The prisoners must be independent with regard to recidivism.

How to calculate the probability

From the information given, the probability that both of the prisoners will go back to prison will be:

= 17% × 17%

= 0.17 × 0.17

= 2.89%

This shows that the prisoners must be independent with regard to recidivism.

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